DLMF:12.4.E5 (Q4113): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2abdec
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
test:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5abdec
Property / Symbols used
 
Property / Symbols used: Q11513 / rank
 
Normal rank
Property / Symbols used: Q11513 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11513 / qualifier
 
xml-id: C12.S1.XMD3.m1ddec
Property / Symbols used
 
Property / Symbols used: Q11516 / rank
 
Normal rank
Property / Symbols used: Q11516 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11516 / qualifier
 
xml-id: C12.S1.XMD6.m1ddec
Property / Symbols used
 
Property / Symbols used: solution (locally) / rank
 
Normal rank
Property / Symbols used: solution (locally) / qualifier
 
test:

u 1 ⁢ ( a , z ) subscript 𝑢 1 𝑎 𝑧 {\displaystyle{\displaystyle u_{1}(a,z)}}

u_{1}(a,z)
Property / Symbols used: solution (locally) / qualifier
 
xml-id: C12.S4.XMD1.m1cdec

Latest revision as of 14:08, 2 January 2020

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DLMF:12.4.E5
No description defined

    Statements

    test
    u 1 ⁢ ( a , z ) = e 1 4 ⁢ z 2 ⁢ ( 1 + ( a - 1 2 ) ⁢ z 2 2 ! + ( a - 1 2 ) ⁢ ( a - 5 2 ) ⁢ z 4 4 ! + ⋯ ) , subscript 𝑢 1 𝑎 𝑧 superscript 𝑒 1 4 superscript 𝑧 2 1 𝑎 1 2 superscript 𝑧 2 2 𝑎 1 2 𝑎 5 2 superscript 𝑧 4 4 ⋯ {\displaystyle{\displaystyle u_{1}(a,z)=e^{\tfrac{1}{4}z^{2}}\left(1+(a-\tfrac% {1}{2})\frac{z^{2}}{2!}+(a-\tfrac{1}{2})(a-\tfrac{5}{2})\frac{z^{4}}{4!}+% \cdots\right),}}
    0 references
    DLMF id
    DLMF:12.4.E5
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
    0 references
    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5abdec
    0 references
    Q11513
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C12.S1.XMD3.m1ddec
    0 references
    Q11516
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C12.S1.XMD6.m1ddec
    0 references
    solution (locally)
    test
    u 1 ⁢ ( a , z ) subscript 𝑢 1 𝑎 𝑧 {\displaystyle{\displaystyle u_{1}(a,z)}}
    xml-id
    C12.S4.XMD1.m1cdec
    0 references
     
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